# Survival function¶

bdtrc(k, n, p)

Returns the sum of the terms k + 1 through n of the Binomial probability density:

Parameters: k (int) – number of successes within [0, n] n (int) – number of trials p (float) – probability of success within [0, 1]

See also bdtr() and bdtri().

## Description¶

$\sum_{j=k+1}^n {n \choose j} p^j (1-p)^{n-j}$

The terms are not summed directly; instead the incomplete beta integral is employed, according to the formula:

y = bdtrc( k, n, p ) = incbet( k+1, n-k, p )


The arguments must be positive, with p ranging from 0 to 1.

## Accuracy¶

Tested at random points (a, b, p).

a, b   relative error
arithmetic domain # trials peak rms
For p between 0.001 and 1
IEEE 0, 100 100000 6.7e-15 8.2e-16
For p between 0 and .001
IEEE 0, 100 100000 1.5e-13 2.7e-15

## Error messages¶

message condition value returned
bdtrc domain x < 0, x > 1, n < k 0.0